Question

The solar energy consumed t o STU) in the US. by year from 1999-2004 (source: U.S. Department of Energy Website http://www.cia.de.gov/emeu) is shown in the table below. 199050 1991 2003 SO Constructa condence interval for the man n ergy consumedume population is approximately normally distributed Round your answers to 3 deomal places de 9.765)

Answer 1

Confidence interval of population mean Let i denotes the mean mean solar energy consumed (in trillion BTU) in US Given the data, we have X = 65.565; s = 4.231; n = 16 VnX - u Tvnc where v=n-1= 16 - 1 = 15 Since o is unknown, 95% confidence interval for u is given by X + (1) Vn 65.565 + 2.131 x 4.231 XV (63.3104592431841, 67.8195407568159)

Thus a 3 decimal places, the CI is

(63.310 <μ< 67.820)